Eigenvalues in Riemannian Geometry: EIGENVALUES IN RIEMANNIAN GEOM

Hardcover | November 28, 1984

byIsaac ChavelEditorIsaac Chavel

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The basic goals of the book are: (i) to introduce the subject to those interested in discovering it, (ii) to coherently present a number of basic techniques and results, currently used in the subject, to those working in it, and (iii) to present some of the results that are attractive in their own right, and which lend themselves to a presentation not overburdened with technical machinery.

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The basic goals of the book are: (i) to introduce the subject to those interested in discovering it, (ii) to coherently present a number of basic techniques and results, currently used in the subject, to those working in it, and (iii) to present some of the results that are attractive in their own right, and which lend themselves to a ...

Format:HardcoverDimensions:362 pages, 9 × 6 × 0.98 inPublished:November 28, 1984Publisher:Academic PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0121706400

ISBN - 13:9780121706401

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Table of Contents

Preface. The Laplacian. The Basic Examples. Curvature. Isoperimetric Inequalities. Eigenvalues and Kinematic Measure. The Heat Kernel for Compact Manifolds. The Dirichlet Heat Kernel for Regular Domains. The Heat Kernel for Noncompact Manifolds. Topological Perturbations with Negligible Effect. Surfaces of Constant Negative Curvature. The Selberg Trace Formula. Miscellanea. Laplacian on Forms. Bibliography. Index.